Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442k |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-116948302848 = -1 · 210 · 38 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8376,294790] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-165:1] [-55:795:1] |
Generators of the group modulo torsion |
j |
-384478870140625/692001792 |
j-invariant |
L |
9.4082657148607 |
L(r)(E,1)/r! |
Ω |
1.0506347771088 |
Real period |
R |
0.55967746367677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bf1 |
Quadratic twists by: 13 |